Official Quant thread for CAT 2013

ABCD is a parallelogram and E is an arbitrary point on the plane. If the areas of ∆ABE and ∆DEC are 5 and 2 respectively, find the minimum possible and maximum possible area of ABCD.

How many 2003-digit positive integers satisfy the following property:-

- except for the first two digits, each digit is equal to the difference between its two preceding digits (e.g. 374312110…) ?

8100 square boxes were aligned as a square with a length of 90 boxes. Alan put a coin in one of the boxes. Betty wanted to find the coin. Every time she could choose one of the boxes, open it and the (at most eight) boxes surrounding it. At least how many boxes must Betty choose to guarantee that she must find the coin?

Raman saved some money in January, 2011. In each morning of Febuary, 2011, his mother gave him 150 rupees as pocket money. He then spent 10% of the total amount he had for lunch every day. Given that the amount he had was 1350 rupees at the end of Febuary, how many dollars did he spend on lunch in Febuary?

Three men Ajay, Balu and Charan work together to make dosas. They can make a total of 24 dosas every minute. Charan and Balu start the work together and work for an integral number of minutes. Ajay then takes over and makes some dosas. In this manner, a total of 180 dosas are made in 10 minutes. Assuming Ajay makes an integral number of dosas every minute, how many dosas does he make every minute?

4

8

2

Cannot be determined

HCF OF 384 AND A^5 b^2 is 16Ab what would be the relationship between a and b?


what are the best quant books to solve ? apart from TIME material.

A geometric sequence having first term 576 and its common ratio is a positive rational number less than 1. At most how many terms of the sequence are integers?

Solve the attachment

can someone please provide me with a link to download Arun sharma quantative ability ebook or pdf??
thanks in advance.

can someone please provide me with a link to download Arun sharma quantative ability ebook or pdf??
thanks in advance.

what is the last digit of 62^43^54^65^76^87....

and if 62 ^3^6^9^12^..............990....

A fair coin is tossed 10 times. Find the probability that two Heads do not occur consecutively.

  • 1/8
  • none
  • 1/32
  • 1/16

0 voters

When a number natural number N converted to base 6 last two digits is 11 and when converted to base 5 last two digits is 30 how many such 4 digit natural number exist?


How many times would zero be used while writing all the natural numbers from 1 to 63 in the Binary ??

A 4 digit number X in base 4 when converted to base 3, gives a 4 digit number. The number obtained by expressing X in base 12, has a zero in its units place. Find the total number of such numbers

Consider two function f and g, which are integrable on every interval and have the following properties : f is odd and g is even . f(0) = 0 , f(5) =7 , g(x) = f(x+5) and f(x) = Integration of g(t) dt from 0 to x for all x . Then Integration of f(t) dt from 0 to 5 is

  • 7
  • 2
  • 5
  • 6

0 voters

Rohan writes all three-digit numbers of base 6, one below the other in an order. Find the number of times the digit '1' is used by Rohan ?????

find the sum of following series

1,2,1,3,2,1,4,3,2,1,5,4,3,2,1.... upto 125 terms

In a three-digit number, the unit digit is twice the tens digit and the tens digit is twice the hundredsdigit. The same number is written as 1XY and 1YX in base 8 and base 9 respectively. Find the sumof X and Y in the decimal system.(a) 15 (b) 7 (c) 11 (d) Cannot be determined